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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeFeb 3rd 2020

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeFeb 5th 2020

added this pointer for discussion of superconductivity via AdS/CFT in condensed matter physics:

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeDec 19th 2020
• (edited Dec 19th 2020)

• S. J. Chapman, A Hierarchy of Models for Type-II Superconductors, IAM Review Vol. 42, No. 4 (Dec., 2000), pp. 555-598 (jstor:2653134)

• Carsten Timm, Theory of Superconductivity, 2020 (pdf)

What I was really looking for is a citable source whose author would state clearly that the flux/vortex quantization is mathematically due to the one-point compactification of the transversal plane being the 2-sphere, whose $\pi_2$ is $\mathbb{Z}$.

Of course if one knows this then one can recognize this is as being the secret underlying reason of the usual arguments (e.g. Chapman 2.33 or Timm p. 27), but I was hoping a published author would more openly admit this.

The closest I have found is p. 6-7 (Section IV.B) of

which comes closer to making this explicit.

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeDec 19th 2020

Am preparing an illustration of fluxon quantization in superconductors. A first version is here. Not included on the nLab page yet, as I need to call it quits for tonight.

• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeDec 20th 2020

Now I have written a few lines in a new section Magnetic flux quantization in type II superconductors, including those graphics.

I think I’ll want to give that paragraph a little stand-alone entry of its own, for ease of cross-linking elsewhere (such as at Dirac charge quantization, magnetic charge, vortex and maybe elsewhere, too)

• CommentRowNumber6.
• CommentAuthorUrs
• CommentTimeFeb 15th 2021

• M. C. Diamantini, C. A. Trugenberger, V. M. Vinokur, Topological Nature of High Temperature Superconductivity (arXiv:2009.01763)
• CommentRowNumber7.
• CommentAuthorUrs
• CommentTimeNov 9th 2021

• Yiqian Chen, Xiaobo Guo, Peng Wang, Holographic Superconductors in a Non-minimally Coupled Einstein-Maxwell-scalar Model (arXiv:2111.03810)
• CommentRowNumber8.
• CommentAuthorUrs
• CommentTimeNov 16th 2021